To calculate the average velocity of the fly, we need to determine the displacement and the total time taken.
Given: Initial velocity (u) = 8.0 m/s Final velocity (v) = 24 m/s Time interval (t) = 40 s
The average velocity (V_avg) can be calculated using the formula:
V_avg = (displacement) / (total time)
First, let's calculate the displacement (s) using the equation of motion:
s = (v + u) * t / 2
Substituting the given values:
s = (24 m/s + 8.0 m/s) * 40 s / 2 s = 32 m/s * 40 s / 2 s = 1280 m
Now, we can calculate the total time (T_total), which is the sum of the given time interval (t) and the time it takes to accelerate (40 s):
T_total = t + t T_total = 40 s + 40 s T_total = 80 s
Finally, we can calculate the average velocity (V_avg):
V_avg = s / T_total V_avg = 1280 m / 80 s V_avg = 16 m/s
Therefore, the average velocity of the fly is 16 m/s.